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Finding the Third Proportional to 450,240 and 960,732

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Solution

The third proportional to 450,240 and 960,732 is: 2,050,031.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,240 : 960,732 = 960,732 : x
  2. Step 2: Convert to fraction form
    450,240/960,732 = 960,732/x
  3. Step 3: Cross multiply
    450,240x = 960,732 × 960,732
  4. Step 4: Simplify right side
    450,240x = 923,005,975,824
  5. Step 5: Solve for x
    x = 923,005,975,824/450,240
  6. Step 6: Final answer
    x = 2,050,031.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.